On split extensions of preordered groups
نویسندگان
چکیده
We investigate the behaviour of split extensions in category $OrdGrp$ (pre)- ordered groups. Namely we show that lexicographic order plays a key role on existence compatible orders for semidirect products, establishing necessary and sufficient conditions such existence; prove Split Short Five Lemma holds (stably) strong extensions, identify classes which admit classifier.
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ژورنال
عنوان ژورنال: Portugaliae Mathematica
سال: 2023
ISSN: ['1662-2758', '0032-5155']
DOI: https://doi.org/10.4171/pm/2101